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Finding the Third Proportional to 181,676 and 391,117

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Solution

The third proportional to 181,676 and 391,117 is: 842,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,676 : 391,117 = 391,117 : x
  2. Step 2: Convert to fraction form
    181,676/391,117 = 391,117/x
  3. Step 3: Cross multiply
    181,676x = 391,117 × 391,117
  4. Step 4: Simplify right side
    181,676x = 152,972,507,689
  5. Step 5: Solve for x
    x = 152,972,507,689/181,676
  6. Step 6: Final answer
    x = 842,007.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.